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Finding the Fourth Proportional to 1,706.00, 2,559.23 and 595.64

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Solution

The fourth proportional to 1,706.00, 2,559.23 and 595.64 is: 893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.00 : 2,559.23 = 595.64 : x
  2. Step 2: Convert to fraction form
    1,706.00/2,559.23 = 595.64/x
  3. Step 3: Cross multiply
    1,706.00x = 2,559.23 × 595.64
  4. Step 4: Simplify right side
    1,706.00x = 1,524,363.98
  5. Step 5: Solve for x
    x = 1,524,363.98/1,706.00
  6. Step 6: Final answer
    x = 893.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.